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arXiv 2608.24502quant-ph

线性自旋链中环形簇相互作用的量子模拟

Quantum simulation of circular cluster interactions in a linear spin chain

Alexander van Lomwel, Hongzheng Zhao, Florian Mintert

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中文总结 AI 辅助

本文针对量子技术中制备对称性与底层设备根本不同的哈密顿量基态的核心挑战,提出模拟协议实现广义簇哈密顿量的量子模拟,控制时长随自旋数和相互作用复杂度适度缩放。

中文摘要 AI 辅助

制备具有与底层设备对称性根本不同的哈密顿量基态是量子技术的核心挑战。本文针对该挑战,提出一种模拟协议,用于基于线性几何(开放边界条件)上的磁化保持相互作用、由周期边界条件产生平移对称性的标志性广义簇哈密顿量。结果表明,该目标可在控制时长内实现,该时长仅随自旋数量和哈密顿量相互作用复杂度适度缩放。

英文摘要

The preparation of ground states of Hamiltonians with symmetries that are fundamentally different than those of the underlying device is a central challenge for quantum technologies. Here, we address this challenge with an analog protocol for the iconic generalized cluster Hamiltonian with the translational symmetry resultant from periodic boundary conditions based on a magnetization-preserving interaction on a linear geometry with open boundary conditions. Our results show that this goal can be achieved in a control duration that scales only moderately with the number of spins and Hamiltonian interaction complexity.

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